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Finding the Fourth Proportional to 420.19, 577.90 and 337.16

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Solution

The fourth proportional to 420.19, 577.90 and 337.16 is: 463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.19 : 577.90 = 337.16 : x
  2. Step 2: Convert to fraction form
    420.19/577.90 = 337.16/x
  3. Step 3: Cross multiply
    420.19x = 577.90 × 337.16
  4. Step 4: Simplify right side
    420.19x = 194,846.63
  5. Step 5: Solve for x
    x = 194,846.63/420.19
  6. Step 6: Final answer
    x = 463.71

Related Problems

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Half scale
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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.